$\\triangle abc$ and $\\triangle xyz$ are similar. find the missing side length.\n(the triangles are not…

$\\triangle abc$ and $\\triangle xyz$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

$\\triangle abc$ and $\\triangle xyz$ are similar. find the missing side length.\n(the triangles are not drawn to scale.)

Answer

Explanation:

Step1: Find similarity scale factor

$\text{Scale factor} = \frac{XZ}{AC} = \frac{27}{3} = 9$

Step2: Calculate missing side length

$\text{Missing side} = BC \times \text{Scale factor} = 4 \times 9 = 36$

Answer:

36